Agency leadership decides to run a One Proportion hypothesis test to determine if the proportion of all vehicles that meet or exceed current fuel economy standards is less than 90%. Assume that all necessary Central Limit Theorem conditions for a One-Proportion Z-test have been met. What is the appropriate null hypothesis in this case? The proportion of all vehicles that meet or exceed current fuel economy standards is V 90%. What is the appropriate alternative hypothesis in this case? The proportion of all vehicles that meet or exceed current fuel economy standards is V 90%. What is the test statistic for this hypothesis test? The test statistic is. (Round to two decimal places as needed.) What is the p-value for this hypothesis test?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its
fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as
this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's
fuel economy (average miles per gallon (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new
vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's
upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently
calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight,
Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles.
StatCrunch Data Set
Agency leadership decides to run a One Proportion hypothesis test to determine if the proportion of all vehicles that meet or exceed current fuel economy standards is
less than 90%. Assume that all necessary Central Limit Theorem conditions for a One-Proportion Z-test have been met.
What is the appropriate null hypothesis in this case?
The proportion of all vehicles that meet or exceed current fuel economy standards is
V 90%.
What is the appropriate alternative hypothesis in this case?
The proportion of all vehicles that meet or exceed current fuel economy standards is
V 90%.
What is the test statistic for this hypothesis test?
The test statistic is.
(Round to two decimal places as needed.)
What is the p-value for this hypothesis test?
Transcribed Image Text:A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles. StatCrunch Data Set Agency leadership decides to run a One Proportion hypothesis test to determine if the proportion of all vehicles that meet or exceed current fuel economy standards is less than 90%. Assume that all necessary Central Limit Theorem conditions for a One-Proportion Z-test have been met. What is the appropriate null hypothesis in this case? The proportion of all vehicles that meet or exceed current fuel economy standards is V 90%. What is the appropriate alternative hypothesis in this case? The proportion of all vehicles that meet or exceed current fuel economy standards is V 90%. What is the test statistic for this hypothesis test? The test statistic is. (Round to two decimal places as needed.) What is the p-value for this hypothesis test?
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Follow-up Question
What would you conclude based on an
α=0.05
​level?
 
We
reject
 
the null hypothesis and
do not accept
 
the alternative hypothesis since there
is
 
sufficient evidence that the proportion of all vehicles that meet or exceed current fuel economy standards is
greater
 
than​ 90% due to the​ p-value being
greater
 
than the
α
level.
 
Explain the results of your hypothesis test. What does the​ p-value signify? Would you say the observed outcome was​ unusual? If​ so, how unusual was the​ outcome?
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